A realization of the Lie algebra associated to a Kantor triple system
Jakob Palmkvist
Abstract
We present a nonlinear realization of the 5-graded Lie algebra associated to a Kantor triple system. Any simple Lie algebra can be realized in this way, starting from an arbitrary 5-grading. In particular, we get a unified realization of the exceptional Lie algebras f4, e6, e7, e8, in which they are respectively related to the division algebras R, C, H, O.
Create a lesson
Related papers
Directed partial orders on the complex number field
Wenyi Wang, Ruisong Yuan, Yuehui Zhang et al.
Polynomial identities, central polynomials and cocharacters of M2(F) with G-graded involution
Rafael Bezerra dos Santos, Lucas Reis
Polynomial identities, central polynomials and cocharacters of M2(F) with transpose superinvolution
Rafael Bezerra dos Santos, Lucas Reis
Range-compatible homomorphisms on Hermitian matrices
Clément de Seguins Pazzis
Transposed Triple Products and Pro-Symmetric Rings in -Rings
Huaxi Chen, Long Wang, Honglin Zou
On -Reversible and Generalized -Reversible Rings
Huaxi Chen, Long Wang, Honglin Zou